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Finding the Fourth Proportional to 1,133.02, 1,697.70 and 646.42

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Solution

The fourth proportional to 1,133.02, 1,697.70 and 646.42 is: 968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.02 : 1,697.70 = 646.42 : x
  2. Step 2: Convert to fraction form
    1,133.02/1,697.70 = 646.42/x
  3. Step 3: Cross multiply
    1,133.02x = 1,697.70 × 646.42
  4. Step 4: Simplify right side
    1,133.02x = 1,097,427.23
  5. Step 5: Solve for x
    x = 1,097,427.23/1,133.02
  6. Step 6: Final answer
    x = 968.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.